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Finding the Third Proportional to 509,524 and 765,570

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Solution

The third proportional to 509,524 and 765,570 is: 1,150,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,524 : 765,570 = 765,570 : x
  2. Step 2: Convert to fraction form
    509,524/765,570 = 765,570/x
  3. Step 3: Cross multiply
    509,524x = 765,570 × 765,570
  4. Step 4: Simplify right side
    509,524x = 586,097,424,900
  5. Step 5: Solve for x
    x = 586,097,424,900/509,524
  6. Step 6: Final answer
    x = 1,150,284.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.